Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene

Abstract

We develop a proposal to realise a widely tunable and clean quantum phase transition in bilayer graphene between two paradigmatic fractionalized phases of matter: the Moore-Read fractional quantum Hall state and the composite Fermi liquid metal. This transition can be realized at total fillings $\nu =\pm 3+1/2$ and the critical point can be controllably accessed by tuning either the interlayer electric bias or the perpendicular magnetic field values over a wide range of parameters. We study the transition numerically within a model that contains all leading single particle corrections to the band-structure of bilayer graphene and includes the fluctuations between the $n=0$ and $n=1$ cyclotron orbitals of its zeroth Landau level to delineate the most favorable region of parameters to experimentally access this unconventional critical point. We also find evidence for a new anisotropic gapless phase stabilized near the level crossing of $n=0/1$ orbits.

arXiv comment14 pages, 14 figures

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Cited by in corpus (12)

• Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene
• Higher vortexability: zero field realization of higher Landau levels
• Universality of Quantum Phase Transitions in the Integer and Fractional Quantum Hall Regimes
• Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
• Bootstrapping the Quantum Hall problem
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• Competing Laughlin state and Wigner crystal in bilayer graphene
• Hetero-Orbital Two-Component Fractional Quantum Hall States in Bilayer Graphene
• $2{\mathbf{k}}_{\mathbf{F}}$ Density Wave Instability of Composite Fermi Liquid
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells
• Even-denominator fractional quantum Hall states in the zeroth Landau level of ABA trilayer graphene
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor